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    Mostrando ítems 1-10 de 51

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    Relaxed secant-type methods 

    Argyros, Ioannis K; Magreñán, Á. Alberto (UNIR) (Nonlinear Studies, 2014-06)
    We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation ...

    UX of social network Edmodo in undergraduate engineering students 

    Gómez, Angélica; Magreñán, Á. Alberto (UNIR); Orcos, Lara (International Journal of Interactive Multimedia and Artificial Intelligence, 2015-09)
    The main objective of this research is to describe the use that students make of an academic SNS (social network service) and detail the relationship between socio-demographic and academic factors associated with the use ...

    A new fourth-order family for solving nonlinear problems and its dynamics 

    Cordero, Alicia; Feng, Licheng; Magreñán, Á. Alberto (UNIR); Torregrosa, Juan Ramón (Journal of Mathematical Chemistry, 2015-03)
    In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made ...

    Improved convergence analysis for Newton-like methods 

    Magreñán, Á. Alberto (UNIR); Argyros, Ioannis K (Numerical Algorithms, 2016-04)
    We present a new semilocal convergence analysis for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these methods in ...

    Enlarging the convergence domain of secant-like methods for equations 

    Argyros, Ioannis K; Ezquerro, J A; Hernández-Verón, M A; Hilout, S; Magreñán, Á. Alberto (UNIR) (Taiwanese Journal of Mathematics, 2015-04)
    We present two new semilocal convergence analyses for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. These methods include the secant, Newton's ...

    Improved local convergence analysis of the Gauss-Newton method under a majorant condition 

    Argyros, Ioannis K; Magreñán, Á. Alberto (UNIR) (Computational Optimization and Applications, 2015-03)
    We present a local convergence analysis of Gauss-Newton method for solving nonlinear least square problems. Using more precise majorant conditions than in earlier studies such as Chen (Comput Optim Appl 40:97-118, 2008), ...

    Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems 

    Amat, Sergio; Argyros, Ioannis K; Magreñán, Á. Alberto (UNIR) (Journal of the Korean Mathematical Society, 2014-09)
    We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide under the same information ...

    Study of a Biparametric Family of Iterative Methods 

    Campos, B; Cordero, Alicia; Magreñán, Á. Alberto (UNIR); Torregrosa, Juan Ramón; Vindel, P (Abstract and Applied Analysis, 2014)
    The dynamics of a biparametric family for solving nonlinear equations is studied on quadratic polynomials. This biparametric family includes the -iterative methods and the well-known Chebyshev-Halley family. We find the ...

    Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane 

    Magreñán, Á. Alberto (UNIR); Cordero, Alicia; Gutiérrez, José M; Torregrosa, Juan Ramón (Mathematics and Computers in Simulation, 2014-11)
    The real dynamics of a family of fourth-order iterative methods is studied when it is applied on quadratic polynomials. A Scaling Theorem is obtained and the conjugacy classes are analyzed. The convergence plane is used ...

    A unified convergence analysis for secant-type methods 

    Argyros, Ioannis K; Magreñán, Á. Alberto (UNIR) (Journal of the Korean Mathematical Society, 2014-11)
    We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes he computation ...
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    Magreñán, Á. Alberto (UNIR) (51)
    Argyros, Ioannis K (35)Cordero, Alicia (9)Torregrosa, Juan Ramón (9)Amat, Sergio (4)... ver todoMateriaScopus (46)JCR (44)banach space (25)local convergence (15)majorizing sequence (15)... ver todoFecha2018 (1)2017 (12)2016 (12)2015 (18)2014 (8)






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